135450540552 has 128 divisors (see below), whose sum is σ = 362664086400. Its totient is φ = 42008678400.

The previous prime is 135450540539. The next prime is 135450540571. The reversal of 135450540552 is 255045054531.

135450540552 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135450540552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14372802 + ... + 14382222.

It is an arithmetic number, because the mean of its divisors is an integer number (2833313175).

Almost surely, 2^135450540552 is an apocalyptic number.

135450540552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135450540552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181332043200).

135450540552 is an abundant number, since it is smaller than the sum of its proper divisors (227213545848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135450540552 is a wasteful number, since it uses less digits than its factorization.

135450540552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9847 (or 9843 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 39.

The spelling of 135450540552 in words is "one hundred thirty-five billion, four hundred fifty million, five hundred forty thousand, five hundred fifty-two".